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Finding the Fourth Proportional to 7,781.40, 11,672.10 and 1,938.02

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Solution

The fourth proportional to 7,781.40, 11,672.10 and 1,938.02 is: 2,907.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.40 : 11,672.10 = 1,938.02 : x
  2. Step 2: Convert to fraction form
    7,781.40/11,672.10 = 1,938.02/x
  3. Step 3: Cross multiply
    7,781.40x = 11,672.10 × 1,938.02
  4. Step 4: Simplify right side
    7,781.40x = 22,620,704.88
  5. Step 5: Solve for x
    x = 22,620,704.88/7,781.40
  6. Step 6: Final answer
    x = 2,907.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.